University Calculus

ISBN-10: 0321471962

ISBN-13: 9780321471963

Edition: 2008 (Alternate)

List price: $180.40
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Description: Key Message:University Calculus: Alternate Editionanswers the demand for a more streamlined, less expensive version of the highly acclaimedThomas Calculus, Eleventh Edition.nbsp; The text retains the same quality and quantity of exercises as the eleventh edition while using a faster-paced presentation. This text focuses on the thinking behind calculus and uses the same precise, accurate exposition for which the Thomas series is well known. The elegant art program helps todayrsquo;s readers visualize important concepts. Key Topics: Functions; Limits and Continuity; Differentiation; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Techniques of Integration; Infinite Sequences and Series; Polar Coordinates and Conics; Vectors and the Geometry of Space; Vector-Valued Functions and Motion in Space; Partial Derivatives; Multiple Integrals; Integration in Vector Fields; First-Order Differential Equations; Second-Order Differential Equations Market: For all readers interested in Calculus.

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Book details

List price: $180.40
Copyright year: 2008
Publisher: Addison Wesley
Publication date: 1/22/2007
Binding: Hardcover
Pages: 1056
Size: 8.50" wide x 9.75" long x 1.50" tall
Weight: 4.686
Language: English

Peter Phillips is the director of Project Censored & an associate professor of sociology at Sonoma State University. Phillips writes op-ed pieces in the alternative press & independent newspapers nationwide. He frequently speaks on media censorship & various sociopolitical issues on radio & TV talk shows, including "Talk of the Nation", "Public Interest", "Talk America", "Democracy Now!", & the "Jim Hightower Show".

Functions
Functions and Their Graphs
Combining Functions; Shifting and Scaling Graphs
Trigonometric Functions
Graphing with Calculators and Computers
Limits and Continuity
Rates of Change and Tangents to Curves
Limit of a Function and Limit Laws
The Precise Definition of a Limit
One-Sided Limits and Limits at Infinity
Infinite Limits and Vertical Asymptotes
Continuity
Tangents and Derivatives at a Point
Differentiation
The Derivative as a Function
Differentiation Rules
The Derivative as a Rate of Change
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation
Related Rates
Linearization and Differentials
Parametrizations of Plane Curves
Applications of Derivatives
Extreme Values of Functions
The Mean Value Theorem
Monotonic Functions and the First Derivative Test
Concavity and Curve Sketching
Applied Optimization
Newton's Method
Antiderivatives
Integration
Area and Estimating with Finite Sums
Sigma Notation and Limits of Finite Sums
The Definite Integral
The Fundamental Theorem of Calculus
Indefinite Integrals and the Substitution Rule
Substitution and Area Between Curves
Applications of Definite Integrals
Volumes by Slicing and Rotation About an Axis
Volumes by Cylindrical Shells
Lengths of Plane Curves
Areas of Surfaces of Revolution
Work
Moments and Centers of Mass
Fluid Pressures and Forces
Transcendental Functions
Inverse Functions and Their Derivatives
Natural Logarithms
Exponential Functions
Inverse Trigonometric Functions
Exponential Change and Separable Differential Equations
Indeterminate Forms and L'Hopital's Rule
Hyperbolic Functions
Techniques of Integration
Integration by Parts
Trigonometric Integrals
Trigonometric Substitutions
Integration of Rational Functions by Partial Fractions
Integral Tables and Computer Algebra Systems
Numerical Integration
Improper Integrals
Infinite Sequences and Series
Sequences
Infinite Series
The Integral Test
Comparison Tests
The Ratio and Root Tests
Alternating Series, Absolute and Conditional Convergence
Power Series
Taylor and Maclaurin Series
Convergence of Taylor Series
The Binomial Series
Polar Coordinates and Conics
Polar Coordinates
Graphing in Polar Coordinates
Areas and Lengths in Polar Coordinates
Conic Sections
Conics in Polar Coordinates
Conics and Parametric Equations; The Cycloid
Vectors and the Geometry of Space
Three-Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product
Lines and Planes in Space
Cylinders and Quadric Surfaces
Vector-Valued Functions and Motion in Space
Vector Functions and Their Derivatives
Integrals of Vector Functions
Arc Length in Space
Curvature of a Curve
Tangential and Normal Components of Acceleration
Velocity and Acceleration in Polar Coordinates
Partial Derivatives
Functions of Several Variables
Limits and Continuity in Higher Dimensions
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